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12220333101313 = 292383382146279
BaseRepresentation
bin1011000111010100010010…
…0111010001000100000001
31121021020211000200100122021
42301311010213101010001
53100204220233220223
641553535445041441
72400614150326201
oct261650447210401
947236730610567
1012220333101313
1139916834a7a67
1214544709b6281
136a84ac403c4c
143036782d4401
15162d2b4ac65d
hexb1d449d1101

12220333101313 has 16 divisors (see below), whose sum is σ = 12650612083200. Its totient is φ = 11790649604160.

The previous prime is 12220333101289. The next prime is 12220333101341. The reversal of 12220333101313 is 31310133302221.

It is a cyclic number.

It is not a de Polignac number, because 12220333101313 - 241 = 10021309845761 is a prime.

It is a super-2 number, since 2×122203331013132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12220333101373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264034708 + ... + 264080986.

It is an arithmetic number, because the mean of its divisors is an integer number (790663255200).

Almost surely, 212220333101313 is an apocalyptic number.

It is an amenable number.

12220333101313 is a deficient number, since it is larger than the sum of its proper divisors (430278981887).

12220333101313 is a wasteful number, since it uses less digits than its factorization.

12220333101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52512.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 12220333101313 its reverse (31310133302221), we get a palindrome (43530466403534).

The spelling of 12220333101313 in words is "twelve trillion, two hundred twenty billion, three hundred thirty-three million, one hundred one thousand, three hundred thirteen".

Divisors: 1 29 2383 3821 46279 69107 110809 1342091 9105443 110282857 176832059 264057847 3198202853 5128129711 421390796597 12220333101313